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Finding the Fourth Proportional to 206,100.77, 309,180.50 and 63,958.32

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Solution

The fourth proportional to 206,100.77, 309,180.50 and 63,958.32 is: 95,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,100.77 : 309,180.50 = 63,958.32 : x
  2. Step 2: Convert to fraction form
    206,100.77/309,180.50 = 63,958.32/x
  3. Step 3: Cross multiply
    206,100.77x = 309,180.50 × 63,958.32
  4. Step 4: Simplify right side
    206,100.77x = 19,774,666,573.71
  5. Step 5: Solve for x
    x = 19,774,666,573.71/206,100.77
  6. Step 6: Final answer
    x = 95,946.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.